On system of generalized vector quasiequilibrium problems with applications
type: Item
instance of: scholarly article
title: On system of generalized vector quasiequilibrium problems with applications
zbMATH Open document ID: 1175.49010
DOI: 10.1155/2009/430930
author: J. W. Peng
author: Lun Wan
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2009-11-10T00:00:00Z
full work available at URL: https://eudml.org/doc/56012
review text: Summary: We introduce a new system of generalized vector quasiequilibrium problems including systems of vector quasiequilibrium problems, systems of vector equilibrium problems, and vector equilibrium problems, and so forth in literature as special cases. We prove the existence of solutions for this system of generalized vector quasi-equilibrium problems. Consequently, we derive some existence results of a solution for the system of generalized quasi-equilibrium problems and the generalized Debreu-type equilibrium problem for both vector-valued functions and scalar-valued functions.
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 5627886
zbMATH Keywords: generalized vector quasiequilibrium problems
zbMATH Keywords: Debreu-type equilibrium problem
zbMATH Keywords: vector-valued functions
zbMATH Keywords: scalar-valued functions
Wikidata QID: Q58648443
MaRDI profile type: Publication
OpenAlex ID: W1986193978
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description: scientific article; zbMATH DE number 5627886